Abstract
The paper discusses, first, the pros and cons of moving from a poset, obtained for some data set, towards a (liner) order. Then, the reasons are provided for doing so, based on three general premises: 1. the true nature of the data, used to obtain the poset (including uncertainty and imprecision, but also the ‘‘statistical’’ features of the data), 2. the existing prior knowledge (models, theories, hypotheses, convictions), and 3. the purpose of analysis. Some hints are offered on how this can be done, and illustrative examples are sketched. Finally, a real life case is shown, where such move from a sheer poset towards an order not only could be done, but was, indeed advisable.
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Notes
- 1.
The issue whether this loss is not worth avoiding a wrong decision, based on the “inadequate” extension of the poset, or vice versa, is exactly the subject matter of this note.
- 2.
This is very often the case on the micro-scale in countries with low or ineffective broadly conceived property taxation, but it is also, in a way, present at the national level—some countries, featuring high personal incomes of their citizens, rank much lower in terms of bank deposits, value of property owned, etc.
- 3.
- 4.
Due to the discussion at the 11th workshop on Partial Order in Applied Sciences, Florence, 9–10 April 2015, the author can confirm that the stylised facts, reflected in this example, are also characteristic for many other educational systems.
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Owsiński, J.W. (2017). Endowing Posets with Flesh: If, Why and How?. In: Fattore, M., Bruggemann, R. (eds) Partial Order Concepts in Applied Sciences. Springer, Cham. https://doi.org/10.1007/978-3-319-45421-4_1
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